Glued Near Polygons
نویسندگان
چکیده
منابع مشابه
Coordinatization structures for generalized quadrangles and glued near hexagons
A generalized admissible triple is a triple T = (L, X,∆), where X is a set of size s + 1 ≥ 2, L is a Steiner system S(2, s + 1, st + 1), t ≥ 1, with point-set P and ∆ is a very nice map from P × P to the group Sym(X) of all permutations of the set X. Generalized admissible triples can be used to coordinatize generalized quadrangles with a regular spread and glued near hexagons. The idea of coor...
متن کاملCompatible spreads of symmetry in near polygons
In De Bruyn [7] it was shown that spreads of symmetry of near polygons give rise to many other near polygons, the so-called glued near polygons. In the present paper we will study spreads of symmetry in product and glued near polygons. Spreads of symmetry in product near polygons do not lead to new glued near polygons. The study of spreads of symmetry in glued near polygons gives rise to the no...
متن کاملA Note on Regular Near Polygons
In this note we prove several inequalities for regular near polygons. ∗This work was partly supported by the Grant-in-Aid for Scientific Research (No 14740072), the Ministry of Education, Science and Culture, JAPAN. †This work was partly done when the author was at the ComMaC center at the Pohang University of Science and Technology. He would like to thank the ComMaC-KOSEF for its support.
متن کاملAn inequality for regular near polygons
Let Γ denote a near polygon distance-regular graph with diameter d ≥ 3, valency k and intersection numbers a1 > 0, c2 > 1. Let θ1 denote the second largest eigenvalue of Γ. We show θ1 ≤ k − a1 − c2 c2 − 1 . We show the following (i)–(iii) are equivalent. (i) Equality is attained above; (ii) Γ is Q-polynomial with respect to θ1; (iii) Γ is a dual polar graph or a Hamming graph.
متن کاملCombinatorial Construction of Some Near Polygons
We give a construction which takes a rank two incidence geometry with three points on a line and returns a geometry of the same type, i.e., with three points on a line. It is also demonstrated that embeddings of the original geometry can be extended to the new geometry. It is shown that the family of dual polar spaces of type Sp(2n, 2) arise recursively from the construction starting with the g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2001
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0512